It appears that one of the most important constituents of graph limits in the general case will be Markov spaces (Markov chains on measurable spaces with a stationary distribution). This motivates our goal to extend some important theorems from finite graphs to Markov spaces or, more generally, ...
4 The total variation flow on metric random walk spaces 4.1 Perimeter, curvature and total variation Let [X,d,m,\nu ] be a metric random walk space. We define the m -interaction between two \nu -measurable subsets A and B of X as ...
The purpose of this paper is to investigate a quasi-flow which is a one-parameter group of non-singular measurable point transformations on a measure space. If, in particular, the transformations are all measure preserving (i.e. a flow is given), the ergodicity together with the mixing prope...
Furstenberg's seminal work on distal flows, R. Ellis and... P Milnes,J Pym - 《Proc.amer.math.soc》 被引量: 30发表: 1992年 Measurable distal and topological distal systems In this paper we prove that any ergodic measurably distal system can be realized as a minimal topologically distal ...
the purple, cyan, and orange solid lines respectively. Shaded region shows where no additional information can be obtained by sniffing. At a WoCof less than 0.01, the response returns to baseline each sniff. Below 0.03 mA, no measurable response can be obtained due to the signal dropping...
As a consequence, those portions of the acceleration and deceleration phases which happen slowly enough to suppress a measurable seismic signal (especially during the final slowdown), are not included in the inverted force history and calculated trajectory. This explains the non-vanishing final rock ...
In this paper we study the weak two-sided limit shadowing for flows on a compact metric space which is different with the usual shadowing, two-sided limit shadowing and L-shadowing, and characterize the weak two-sided limit shadowing flows from the pointwise and measurable viewpoints. Moreover,...
The purpose of this work is to propose another approach based on first principles producing similar terms so that the numerical approximation converges without using any other parameter but the material constants, which are measurable. The approach eliminates stability problems, first, by setting the ...
It follows that |\partial \phi |\circ {\varvec{u}} is lower semicontinuous and thus measurable. Since \phi is continuously Fréchet-differentiable on {\mathcal {C}}_\textrm{ir}, it is locally Lipschitz-continuous, whence \phi \circ {\varvec{u}} is locally absolutely continuous, and ...
Auslander, L., Green, L., and Hahn, F., Flows on Homogeneous Spaces, Annals of Math. Studies, Princeton Univ. Press, (1963). Ambrose, W., and Kakutani, S., Structure and continuity of measurable flows, Duke Math. J. 9, (1942), 25–42. CrossRef Connes, A., Feldman, J. and...